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Finding the Fourth Proportional to 873.52, 1,203.12 and 652.12

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Solution

The fourth proportional to 873.52, 1,203.12 and 652.12 is: 898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.52 : 1,203.12 = 652.12 : x
  2. Step 2: Convert to fraction form
    873.52/1,203.12 = 652.12/x
  3. Step 3: Cross multiply
    873.52x = 1,203.12 × 652.12
  4. Step 4: Simplify right side
    873.52x = 784,575.61
  5. Step 5: Solve for x
    x = 784,575.61/873.52
  6. Step 6: Final answer
    x = 898.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.